$\frac{dx}{dt}=\frac{t}{2x}$

$\ln\left(x+2\right)+\ln\left(x+4\right)=\ln\left(3\right)$

$\left(-2x^3yz^4\right)\left(-x^3y^2z^3\right)^4$

$\int5arctan\left(3y\right)dy$

$\lim_{x\to\infty}\left(\frac{\ln\left(x\right)}{2x+\ln\left(x\right)}\right)$

$\sqrt{12x^6}\cdot\sqrt{4x^2}$

$\frac{dy}{dx}=cos^2xsiny$